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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 303600.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.t1 | 303600t1 | \([0, -1, 0, -488259408, -5238770438688]\) | \(-402277363712679575279378/137727283046656167975\) | \(-4407273057492997375200000000\) | \([]\) | \(154091520\) | \(4.0160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303600.t do not have complex multiplication.Modular form 303600.2.a.t
sage: E.q_eigenform(10)