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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 363825d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363825.d1 | 363825d1 | \([0, 0, 1, -11025, 460906]\) | \(-2985984/121\) | \(-6005613796875\) | \([]\) | \(1161216\) | \(1.2198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363825d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 363825d do not have complex multiplication.Modular form 363825.2.a.d
sage: E.q_eigenform(10)