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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 212415c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212415.g1 | 212415c1 | \([0, 1, 1, -3771546, -2813771950]\) | \(7229403136/19845\) | \(16286610656011867605\) | \([]\) | \(10340352\) | \(2.5596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212415c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212415c do not have complex multiplication.Modular form 212415.2.a.c
sage: E.q_eigenform(10)