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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 303450.d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303450.d1 | 303450d1 | \([1, 1, 0, 2044525, 1350250125]\) | \(30004847/42336\) | \(-1333579965147013500000\) | \([]\) | \(15863040\) | \(2.7391\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450.d do not have complex multiplication.Modular form 303450.2.a.d
sage: E.q_eigenform(10)