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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 207368t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207368.l1 | 207368t1 | \([0, -1, 0, -734428, 243995333]\) | \(-157216000/1127\) | \(-314050258267056752\) | \([]\) | \(2433024\) | \(2.1898\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207368t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 207368t do not have complex multiplication.Modular form 207368.2.a.t
sage: E.q_eigenform(10)